4MA0 Foundation June 2016 Paper 2R Q23
23 Louis makes a model of a plane.
The wingspan of the model is 50 centimetres.
The wingspan of the real plane is 80 metres.
(a) Work out the scale of the model.
Give your answer in the form \(1 : n\) (2)
Give your answer in the form \(1 : n\) (2)
The length of the real plane is 72 metres.
(b) Work out the length of the model.
Give your answer in centimetres. (2)
Give your answer in centimetres. (2)
| Scheme | Marks |
|---|---|
| 8000:50 or 50:8000 or \(\dfrac{8000}{50}\) | M1 |
| 160 | A1 |
| (2) |
| Scheme | Marks |
|---|---|
| \(\dfrac{72}{80} \times 50\) oe or 72 × 100 ÷ ‘160’ | M1 |
| 45 | A1 |
| (2) |
Notes
M1: A correct method to find the length of the model, ft their answer to (a)
A1: cao (If ans 1.6 in (a) then do not award marks for 72 ÷ 1.6 = 45)